We analyze the collapse and revival phenomenon in the energy exchange of two field modes initially prepared in a Fock state, as well as their coherent superposition in the process of k-photon down-conversion with quantized pump. The influence of the presence of a Kerr-like medium is discussed.
The collapse-and-revival phenomenon in the population inversion and the time evolution of the quasiprobability Q function of an atom undergoing a two-photon process are investigated when the cavity is supposed to be filled with a Kerr-like medium. An exact expression for the atomic population inversion has been given for a field initially in the coherent state. The closed form of this expression as well as that of the Q function are obtained under the high-field approximation. Also, the tendency toward inhibited decay of the excited state has been explicitly shown. This study reveals how the simultaneous occurrence of two nonlinear processes affects the atomic dynamics.
The atomic dynamical properties in the system with competing k -photon and l -photon transitions are studied fully by means of quantum theory. We discuss the influences of the mode–mode competition, the relative competing strengths of the atom and the two-mode field and the initial state of the system on the atomic dynamics. We show that the presence of the mode–mode competition can result in quite a periodical collapses-revivals of the atomic inversion and the increase of the initial photons of the system can lead to the collapse–revival phenomenon and prolong the revival time of the atomic inversion.